题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012054415-62687.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012054415-60334.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012054415-25440.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012054415-74378.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012054415-79916.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012054415-47511.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012054416-73950.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012054416-20180.png)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012054416-49715.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012054416-28033.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012054416-98610.png)
(2)证明:
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012054416-47693.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012054417-47953.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012054417-38653.png)
(2)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012054417-48168.png)
解析
试题分析:(1)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012054415-47511.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012054416-73950.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012054416-20180.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012054417-60627.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012054417-29612.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012054418-82813.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012054418-84902.png)
由已知可得
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012054418-70420.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012054418-24653.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012054418-22045.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012054419-75015.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012054419-41263.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012054419-18219.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012054419-61808.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012054419-21994.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012054420-79735.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012054417-38653.png)
(2)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012054420-26976.png)
点评:本题已知条件主要是关于
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012054420-86221.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012054420-18938.png)
此外第二小题还可借助于第一问的结论,结合数学归纳法猜想并证明
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012054338-35785.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012054339-27332.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012054339-69497.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012054339-75421.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012054339-35799.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012054339-53186.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012054340-14375.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012054340-87766.png)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012054340-25265.png)
(2)求通项
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012054340-14375.png)
(3)证明:
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012054340-48484.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012054316-87005.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012054316-18034.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012054317-52058.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012054317-37297.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012054317-84025.png)
A.48 | B.49 | C.50 | D.51 |
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012054311-13196.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012054311-13196.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012054311-58241.png)
A.-110 | B.-90 | C.90 | D.110 |
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012054304-25816.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012054304-80403.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012054304-95741.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012054247-82113.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012054247-55423.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012054248-97711.png)
(1)求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012054247-82113.png)
(2)求
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012054248-67236.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012054248-98402.png)
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